Find the side $ a $ of a triangular prism if area $A = 200$ and base area $B = 100$.
Answer
$a = 15.1967$
Explanation
To find side $ a $ use formula:
$$ B = \dfrac{ \sqrt{ 3 } \cdot a^2 }{ 4 }$$After substituting $ B = 100 $ we have:
$$ 100 = \dfrac{ \sqrt{ 3 } \cdot a^2 }{ 4 }$$ $$ 100 \cdot 4 = \sqrt{ 3 } \cdot a^2 $$ $$ 400 = \sqrt{ 3 } \cdot a^2 $$ $$ a^2 = \dfrac{ 400 }{ \sqrt{ 3 } } $$ $$ a^2 = \frac{ 400 \sqrt{ 3}}{ 3 } $$ $$ a = \sqrt{ \frac{ 400 \sqrt{ 3}}{ 3 } } $$$$ a \approx 15.1967 $$This page was created using
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